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2148680 = 23553717
BaseRepresentation
bin1000001100100101001000
311001011102202
420030211020
51022224210
6114015332
724156242
oct10144510
94034382
102148680
111238376
12877548
135a3011
143dd092
152c69a5
hex20c948

2148680 has 16 divisors (see below), whose sum is σ = 4834620. Its totient is φ = 859456.

The previous prime is 2148677. The next prime is 2148709. The reversal of 2148680 is 868412.

It can be written as a sum of positive squares in 2 ways, for example, as 2137444 + 11236 = 1462^2 + 106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26819 + ... + 26898.

22148680 is an apocalyptic number.

2148680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148680 is an abundant number, since it is smaller than the sum of its proper divisors (2685940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2148680 is a wasteful number, since it uses less digits than its factorization.

2148680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53728 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2148680 is about 1465.8376444886. The cubic root of 2148680 is about 129.0398690941.

The spelling of 2148680 in words is "two million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53717 107434 214868 268585 429736 537170 1074340 2148680